7 more than a number ?

A)n+7
B)7+n
C)7-n

Answer:

Length of the person = 1.9 m

Step-by-step explanation:

Actual length of the lorry = 9.5 m

Length of the lorry as per scale = 10 cm

Scale factor used to get the actual length of the lorry = [tex]\frac{\text{Actual length}}{\text{Length on scale}}[/tex]

                                                                                         = [tex]\frac{9.5}{10}[/tex]

                                                                                         = 0.95 : 1

Let the actual length of the person = x meters

Length of the person as per scale = 2 cm

Scale factor used to get the length of person is same.

Therefore, relation between the actual length of the person and scale length will be,

[tex]\frac{x}{2}= \frac{0.95}{1}[/tex]

x = 2 × 0.95

x = 1.9 meters

Answer:

4

Step-by-step explanation:keep change flip 4/5 x 5/1 = 20/5= 4

Answer:

Here,

150+10=180

162-180=18

Answer is 18°

Step-by-step explanation:

So the round of nearest tenth is 18°

Hope it will help have a great day at school. ^_^

Answer:

=[tex](x-1)(x+6)[/tex]

Step-by-step explanation:

Answer:

[tex]x^{2} +5x-6=(x-1)(x+6)[/tex]

Step-by-step explanation:

Answer

i think this is what you mean

Step-by-step explanation:

x          y

2         0

1          2

0         4

-1         6

-2        8

Answer:

[tex]P(X > 11) = 0.368[/tex]

[tex]P(X > 22) = 0.135[/tex]

[tex]P(X > 33) = 0.050[/tex]

[tex]x = 33[/tex]

Step-by-step explanation:

Given

[tex]E(x) = 11[/tex] --- Mean

Required (Missing from  the question)

[tex](a)\ P(X>11)[/tex]

[tex](b)\ P(X>22)[/tex]

[tex](c)\ P(X>33)[/tex]

(d) x such that [tex]P(X <x)=0.95[/tex]

In an exponential distribution:

[tex]f(x) = \lambda e^{-\lambda x}, x \ge 0[/tex] --- the pdf

[tex]F(x) = 1 - e^{-\lambda x}, x \ge 0[/tex] --- the cdf

[tex]P(X > x) = 1 - F(x)[/tex]

In the above equations:

[tex]\lambda = \frac{1}{E(x)}[/tex]

Substitute 11 for E(x)

[tex]\lambda = \frac{1}{11}[/tex]

Now, we solve (a) to (d) as follows:

Solving (a): P(X>11)

[tex]P(X > 11) = 1 - F(11)[/tex]

Substitute 11 for x in [tex]F(x) = 1 - e^{-\lambda x}[/tex]

[tex]P(X > 11) = 1 - (1 - e^{-\frac{1}{11}* 11})[/tex]

[tex]P(X > 11) = 1 - (1 - e^{-\frac{11}{11}})[/tex]

[tex]P(X > 11) = 1 - (1 - e^{-1})[/tex]

Remove bracket

[tex]P(X > 11) = 1 - 1 + e^{-1}[/tex]

[tex]P(X > 11) = e^{-1}[/tex]

[tex]P(X > 11) = 0.368[/tex]

Solving (b): P(X>22)

[tex]P(X > 22) = 1 - F(22)[/tex]

Substitute 22 for x in [tex]F(x) = 1 - e^{-\lambda x}[/tex]

[tex]P(X > 22) = 1 - (1 - e^{-\frac{1}{11}* 22})[/tex]

[tex]P(X > 22) = 1 - (1 - e^{-\frac{22}{11}})[/tex]

[tex]P(X > 22) = 1 - (1 - e^{-2})[/tex]

Remove bracket

[tex]P(X > 22) = 1 - 1 + e^{-2}[/tex]

[tex]P(X > 22) = e^{-2}[/tex]

[tex]P(X > 22) = 0.135[/tex]

Solving (c): P(X>33)

[tex]P(X > 33) = 1 - F(33)[/tex]

Substitute 33 for x in [tex]F(x) = 1 - e^{-\lambda x}[/tex]

[tex]P(X > 33) = 1 - (1 - e^{-\frac{1}{11}* 33})[/tex]

[tex]P(X > 33) = 1 - (1 - e^{-\frac{33}{11}})[/tex]

[tex]P(X > 33) = 1 - (1 - e^{-3})[/tex]

Remove bracket

[tex]P(X > 33) = 1 - 1 + e^{-3}[/tex]

[tex]P(X > 33) = e^{-3}[/tex]

[tex]P(X > 33) = 0.050[/tex]

Solving (d): x when [tex]P(X <x)=0.95[/tex]

Here, we make use of:

[tex]P(X<x) = F(x)[/tex]

Substitute [tex]F(x) = 1 - e^{-\lambda x}[/tex]

[tex]P(X<x) = 1 - e^{-\lambda x}[/tex]

So, we have:

[tex]0.95 = 1 - e^{-\lambda x}[/tex]

Subtract 1 from both sides

[tex]0.95 -1= 1-1 - e^{-\lambda x}[/tex]

[tex]-0.05=- e^{-\lambda x}[/tex]

Reorder the equation

[tex]e^{-\lambda x} = 0.05[/tex]

Substitute 1/11 for [tex]\lambda[/tex]

[tex]e^{-\frac{1}{11} x} = 0.05[/tex]

Solve for x:

[tex]x = -\frac{1}{1/11}\ ln(0.05)[/tex]

[tex]x = -11\ ln(0.05)[/tex]

[tex]x = 32.9530550091[/tex]

[tex]x = 33[/tex] --- approximated

Answer:

its 3

Step-by-step explanation:

Answer:

9 beads are purple

Step-by-step explanation:

we know that

To find out how many  beads are purple, multiply the total beads by the fraction of the beads that are purple

so

therefore

9 beads are purple

Another way to solve the problem is convert the fraction in percentage

we have

so

If the total are 18 beads

50% is 9 beads

therefore

9 beads are purple

After plotting the above equation on the coordinate plane, we can see the graph of the function.

A parametric equation in mathematics specifies a set of numbers as functions of one or more independent variables known as parameters.

We have two parametric equations:

x = 1 – t² and

y = 2t

t = y/2  and

0 ≤ t² ≤ 5

1 ≤ 1 - t²≤ 4

1 ≤ x≤ 4

Plug the above value in x = 1 – t²

x = 1- (y/2)²

x = 1 - y²/4

4x = 4 - y²

y² = 4(1 - x)

Thus, after plotting the above equation on the coordinate plane, we can see the graph of the function.

Learn more about the parametric function here:

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Answer:

Step-by-step explanation:

-7 which set of number belongs, betwen

Natural

Whole

Intergers

Rational

Irrational

Real

Answer:

He bought 2 cans of paint

Step-by-step explanation:

If he put ⅖ in each, and ⅘ total, he would have had 2 cans

Quantity of special paint additive Ernest bought = [tex] \tt \frac{4}{5} \: of \: a \: litre [/tex]

Quantity of additive he put in each can = [tex] \tt \frac{2}{5} \: of \: a \: litre [/tex]

Number of cans of paint he bought :

[tex] =\tt \frac{4}{5} \div \frac{2}{5} [/tex]

[tex] = \tt\frac{4}{5} \times \frac{5}{2} [/tex]

[tex] = \tt\frac{4 \times 5}{5 \times 2} [/tex]

[tex] =\tt \frac{20}{10} [/tex]

[tex]\color{plum} = \tt2 \: paint \: cans[/tex]

▪︎Therefore, Ernest bought 2 paint cans.

Answer:

750 is the answer. Hope it helps!

Answer:

the answer is 3 miles

Step-by-step explanation:

1 +2 = 3 so 3

Answer:

m= - 4/13

Step-by-step explanation:

Answer:

-4/13

Step-by-step explanation:

Hopefully this helps :)

The number of bananas that Ron sold is 315.

Division is one of the operation in mathematics where number is divided  into equal parts as that of a definite number.

Given that,

Cost for a banana = $0.60

Also given, he made $150.00, after taking off $39.00 for his banana stand rental.

Total amount of money that Ron made by selling the bananas = $150 + $39 = $189

Number of bananas sold = 189 / 0.6

                                          = 315

Hence Ron sold 315 bananas.

Learn more about Division here :

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Answer:

D

Step-by-step explanation:

0

1

2

3

4

5

take x 1 so 1-1

2-1..........

Answer:

56

Step-by-step explanation: Use the values of a, b, and c to find the discriminant.

Answer:

[tex]\Delta =56[/tex]

Step-by-step explanation:

We are given:

[tex]y = x^2 - 8x + 2[/tex][tex]y=x^2-8x+2[/tex]

So, a = 1, b = -8, and c = 2.

The discriminant (symbolized by Δ) is given by:

[tex]\Delta =b^2-4ac[/tex]

So, our discriminant in this case will be:

[tex]\Delta=(-8)^2-4(1)(2)=64-8=56[/tex]

Since our discriminant is a positive value, our equation has two real roots.

Given:

The statement is " a is the fourth root of 16".

To find:

The true statement for the given statement.

Solution:

The given statement is

a is the fourth root of 16.

Mathematically, it can be written as

[tex]a=\sqrt[4]{16}[/tex]

Taking power 4 on both sides.

[tex]a^4=(\sqrt[4]{16})^4[/tex]

[tex]a\times a\times a\times a=16[/tex]

Therefore, the correct option is A.

A true statement ,  if a is the fourth root of 16 is

a x a x a x a = 16

Important Information :

'a' is the fourth root of 16 can be written as

[tex]a=\sqrt[4]{16}[/tex]

To remove fourth root, we take exponent 4 on both sides

[tex]a=\sqrt[4]{16}\\(a)^4=(\sqrt[4]{16})^4[/tex]

Exponent 4  and fourth root will get cancelled

[tex]a^4=16\\a \cdot a\cdot a \cdot a=16[/tex]

a x a x a x a = 16

A true statement ,  if a is the fourth root of 16 is

a x a x a x a = 16

learn more about the radicals here:

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Answer:

300 sqft

Step-by-step explanation:

30 times ten is 300 and the measure is feet squared

Answer:

9000 ft 3

Step-by-step explanation:

Answer:

$56.10

Step-by-step explanation:

Answer:

$8.50

Step-by-step explanation:

Answer:

Step-by-step explanation:

Height = √(90^2-63^2) = √4131 ≈ 64 ft

Answer:

(f o h)(-5)=-33

Step-by-step explanation:

Let f(x) = 4x - 1, h(x) = - X-3.

(f o h)=4(-x-3)-1

(f o h)=-4x-12-1

(f o h)=-4x-13

(f o h)(-5)=-4(-(-5))-13

(f o h)(-5)=-20-13

(f o h)(-5)=-33